A and B together can complete a piece of work in 20 days B and C together can complete in 30 days If...........

Quantitative Aptitiude (CLAT) Time and work

A and B together can complete a piece of work in 20 days. B and C together can complete in 30 days. If A is twice as good a workman as C, then in how many days will B alone can complete the same work?

30 Days

40 Days

10 Days

60 Days

Explanation:

Solution: A+B’s 1 day’s work = 1/20
B+C’s 1 day’s work = 1/30
Since, A is twice as good a workman as C.
∴ A = 2C
B+2C = 1/20
C = 1/20 - 1/30 = 1/60
B can complete the same work = 1/30 - 1/60 = 1/60 = 60 Days